71538278400 has 576 divisors, whose sum is σ = 265373759040. Its totient is φ = 18402508800.

The previous prime is 71538278381. The next prime is 71538278401. The reversal of 71538278400 is 487283517.

71538278400 is a `hidden beast` number, since 7 + 1 + 538 + 2 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71538278401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228556644 + ... + 228556956.

Almost surely, 2^71538278400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71538278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132686879520).

71538278400 is an abundant number, since it is smaller than the sum of its proper divisors (193835480640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71538278400 is a wasteful number, since it uses less digits than its factorization.

71538278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 71538278400 in words is "seventy-one billion, five hundred thirty-eight million, two hundred seventy-eight thousand, four hundred".